An electron in a hydrogen atom undergoes a transition from an orbit with a quantum number n i to another quantum number n f . V i and V f are the initial and final potential energies of the electron.

Question

An electron in a hydrogen atom undergoes a transition from an orbit with a quantum number n i to another quantum number n f . V i and V f are the initial and final potential energies of the electron. If V i V f = 6.25 then the smallest n f is

TestHub · Accepted Answer

U = - Z 2 n 2 E 0 Z = 1 U = - E 0 n 2 U i U f = n f 2 n i 2 = 6.25 Taking n i = 2 n f = 5

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